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An easy (but hard?) problem-
A bag contains 100 marbles, each uniquely numbered from 1 to 100. In each move, we randomly draw two marbles, discard one, and return the other to the bag. This process continues until only one marble remains. What is the probability that marbles numbered 3 and 98 are drawn together on the 50th move?
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Can you solve this IMC trading quant interview problem:
You flip a fair coin repeatedly till you get 2 CONSECUTIVE heads. What is the probability that the total number of tosses is odd?
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An HRT interview problem:
If 10 chords are drawn on a circle with their endpoints chosen uniformly at random, what is the expected number of chords intersections?
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Ace your quant interviews!